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Finding the Fourth Proportional to 229,989.42, 344,867.49 and 105,223.50

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Solution

The fourth proportional to 229,989.42, 344,867.49 and 105,223.50 is: 157,781.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,989.42 : 344,867.49 = 105,223.50 : x
  2. Step 2: Convert to fraction form
    229,989.42/344,867.49 = 105,223.50/x
  3. Step 3: Cross multiply
    229,989.42x = 344,867.49 × 105,223.50
  4. Step 4: Simplify right side
    229,989.42x = 36,288,164,334.02
  5. Step 5: Solve for x
    x = 36,288,164,334.02/229,989.42
  6. Step 6: Final answer
    x = 157,781.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.